|
|
A007069
|
|
First column of spectral array W(sqrt 2).
(Formerly M1329)
|
|
5
|
|
|
1, 2, 5, 7, 9, 11, 12, 15, 16, 19, 21, 22, 25, 26, 29, 31, 33, 35, 36, 39, 41, 43, 45, 46, 49, 50, 53, 55, 57, 59, 60, 63, 65, 67, 69, 70, 73, 74, 77, 79, 80, 83, 84, 87, 89, 91, 93, 94, 97, 98, 101, 103, 104, 107, 108, 111, 113, 115, 117, 118, 121, 123, 125, 127, 128, 131
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
|
|
FORMULA
|
Iterated floor function: a(n) = floor(sqrt(2)*floor(sqrt(2)*n)).
|
|
MATHEMATICA
|
Table[Floor[Sqrt[2]*Floor[Sqrt[2]*n]], {n, 1, 100}] (* G. C. Greubel, Aug 16 2018 *)
|
|
PROG
|
(PARI) vector(100, n, floor(sqrt(2)*floor(n*sqrt(2)))) \\ G. C. Greubel, Aug 16 2018
(Magma) [Floor(Sqrt(2)*Floor(Sqrt(2)*n)): n in [1..100]]; // G. C. Greubel, Aug 16 2018
(Python)
from math import isqrt
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|